LONDON - Britain could end up holding a second referendum on its membership of the European Union if Prime Minister Theresa May's plan for Brexit is rejected, a government minister told Sky News on Wednesday.

"Those to the right of the party - the pro-Brexit wing - will be very concerned that if that deal doesn't prevail, they'll end up in the situation where we could have a second referendum and we could end up not leaving the EU altogether. There is a danger of that happening," said Mel Stride, a minister in Britain's finance ministry.

(Reporting by William James; editing by Stephen Addison) ((william.james@thomsonreuters.com; +44 207 542 3374; Reuters Messaging: william.james.thomsonreuters.com@reuters.net))